Problem 09.137 - Mass moment of inertia of bodies formed of sheet metal
A 4.500 mm thick piece of sheet steel is cut and bent into the machine component shown. Knowing that the density of steel is 7850 kg/m³, determine the mass moment of inertia of the component with respect to each of the coordinate axes.
The mass moment of inertia $I_x$ is $\boxed{}$ $\times 10^{-3}$ kg$\cdot$m$^2$. (Round the final answer to three decimal places.)
The mass moment of inertia $I_y$ is $\boxed{}$ $\times 10^{-3}$ kg$\cdot$m$^2$.
The mass moment of inertia $I_z$ is $\boxed{}$ $\times 10^{-3}$ kg$\cdot$m$^2$. (Round the final answer to three decimal places.)